How to Calculate Arbitrage Betting: A Clear and Confident Guide

Arbitrage betting leverages odds discrepancies across bookmakers to ensure profit irrespective of the event's result.

22 Aug, 2023 17 min read

Leonardo Maldonado

Leonardo Maldonado

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Arbitrage betting can be an effective strategy to profit from sports betting. This approach involves taking advantage of discrepancies in odds offered by different bookmakers to guarantee a profit, regardless of the event's outcome. However, to successfully execute an arbitrage bet, you must know how to calculate the optimal bet size for each outcome.

To calculate the optimal bet size for an arbitrage bet, you'll need to use a formula that considers the odds offered by each bookmaker and the implied probabilities of each outcome.

The formula is as follows: 1 / Decimal Odds (Outcome 1) + 1 / Decimal Odds (Outcome 2) + … + 1 / Decimal Odds (Outcome n) = Total. If the total is less than 1, an arbitrage opportunity exists.

Once you've identified an arbitrage opportunity, you can use the formula to calculate the optimal bet size for each outcome. This will ensure you profit regardless of the event's outcome. However, it's important to note that arbitrage opportunities are rare and may require you to place bets with multiple bookmakers, which can be time-consuming and require significant capital.

Understanding Arbitrage Betting

Arbitrage betting, also known as arbing, is a strategy that allows bettors to take advantage of discrepancies in odds offered by different bookmakers. This strategy involves placing bets on all possible outcomes of a sporting event with varying bookmakers so that the bettor is guaranteed to make a profit regardless of the event's outcome.

Arbitrage betting is based on exploiting pricing inefficiencies in the market. Bookmakers often have different opinions on the probability of an event occurring, which leads to differences in the odds they offer. By comparing the odds other bookmakers offer, bettors can identify instances where the odds are in their favor and place bets accordingly.

To successfully execute an arbitrage betting strategy, bettors must be able to calculate the implied probability of each possible outcome of an event based on the odds offered by bookmakers. The implied probability represents the likelihood of an outcome occurring, as implied by the odds the bookmaker offers.

Bettors can calculate the implied probability of an outcome using the following formula:

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Decimal odds represent a bettor's total payout for a winning bet, including the original stake. For example, if a bookmaker offers odds of 2.5 for a particular outcome, the decimal odds would be 3.5 (2.5 + 1).

Once the implied probability of each possible outcome has been calculated, bettors can compare them to identify instances where the combined probability of all results is less than 100%. This is an arbitrage opportunity, as the bettor can bet on all possible outcomes and still make a profit.

It is important to note that arbitrage opportunities are rare and often short-lived, as bookmakers quickly adjust their odds to eliminate pricing inefficiencies in the market. Therefore, bettors must act swiftly and have accounts with multiple bookmakers to seize arbitrage opportunities.

In conclusion, arbitrage betting is a strategy that allows bettors to take advantage of pricing inefficiencies in the market to make a guaranteed profit. By calculating the implied probability of each possible outcome and identifying instances where the combined probability of all results is less than 100%, bettors can place bets on all possible outcomes and still profit. However, arbitrage opportunities are rare and often short-lived, so bettors must act quickly and have accounts with multiple bookmakers to exploit them.

Types of Arbitrage Bets

There are several types of arbitrage bets that you can place to guarantee a profit. Here are some of the most common types of arbitrage bets:

Two-Way Arbitrage Bet

The two-way arbitrage bet is the simplest form of arbitrage betting, and it involves placing bets on two different outcomes of a single event. For example, you could bet on both teams to win a football match or on both a horse to win and place in a race. The key to this type of bet is finding two bookmakers that offer different odds for the same event. You can then place your bets on both outcomes and guarantee a profit, regardless of the event's outcome.

Three-Way Arbitrage Bet

A three-way arbitrage bet involves placing bets on three different outcomes of a single event. This type of bet is more complicated than a two-way arbitrage bet because you must find three bookmakers offering other odds for the same event. You can then place your bets on all three outcomes and guarantee a profit, regardless of the event's outcome.

Bet Types

Arbitrage bets can be placed on a variety of different bet types, including:

  • Moneyline bets: These are bets on the winner of a particular event, such as a football match or a horse race.
  • Point spread bets are bets on the margin of victory in a specific event, such as a basketball game.
  • Over/under bets: These are bets on whether the total score of a particular event will be over or under a specific number.

When placing arbitrage bets, it's essential to consider the bet type and the odds offered by different bookmakers. By doing so, you can identify arbitrage opportunities and guarantee a profit, regardless of the event's outcome.

Calculating Arbitrage Betting

Arbitrage betting is a strategy bettors use to guarantee a profit by placing bets on all possible outcomes of an event. You can use an arbitrage calculator or manually calculate the odds and probabilities to calculate arbitrage betting.

Using Arbitrage Calculator

An arbitrage calculator is a tool that helps you determine the stake and profit for each bet to guarantee a profit regardless of the outcome. It works by inputting the odds for each result from different bookmakers and calculating the implied probabilities and potential profit.

To use an arbitrage calculator, follow these steps:

  1. Input the odds for each outcome from different bookmakers
  2. The calculator will automatically calculate the implied probabilities for each outcome
  3. The calculator will then determine if an arbitrage opportunity exists and calculate the potential profit
  4. The calculator will also provide the stake for each bet to guarantee a profit regardless of the outcome

Arbitrage calculators are easy to use and save time compared to manual calculations. However, it's important to note that not all bookmakers have the same odds, and the calculator may not consider commission fees or maximum stake limits.

Manual Calculation

The manual calculation involves calculating the probabilities and stakes using formulas and maths. To manually calculate arbitrage betting, follow these steps:

  1. Convert the odds for each outcome to decimal odds
  2. Calculate the implied probability for each outcome using the formula: 1/decimal odds
  3. Add the probabilities for each result to get the total probability
  4. Divide each individual probability by the real chance to get the percentage stake for each bet
  5. Calculate the maximum profit using the formula: total stake - total investment

For example, let's say you want to bet on a soccer match between Team A and Team B. Bookmaker 1 offers odds of 2.0 for Team A to win, while Bookmaker 2 offers odds of 3.0 for Team B to win.

Using manual calculation, the implied probability for Team A to win is 50% (1/2.0), and for Team B to win is 33.33% (1/3.0). The total chance is 83.33%.

Divide each probability by the total chance to calculate each bet's stake. The stake for Team A is 60% (50%/83.33%), and the stake for Team B is 40% (33.33%/83.33%).

The maximum profit is calculated by subtracting the total investment (100%) from the total stake (100%/83.33%), which equals 20%.

In conclusion, arbitrage betting can be profitable using an arbitrage calculator or manually calculating the odds and probabilities. However, it's essential to research, compare odds from different bookmakers, and understand the risks involved.

Identifying Arbitrage Opportunities

It would be best if you found discrepancies in the odds different bookmakers offer to identify an arbitrage opportunity. This can be done quickly using an odds comparison site like Oddschecker or Smarkets. These sites allow you to compare the odds different bookmakers offer for a particular event, making it easier to find arbitrage bet opportunities.

Once you have found an event with two possible outcomes, you must compare the odds different bookmakers offer for each result. Look for a situation where the odds for each outcome are high enough that you can place bets on both outcomes and still make a profit, regardless of which result actually occurs.

To calculate whether the odds represent an arbitrage betting opportunity, you can use the following formula:

1 / Decimal Odds (Outcome 1) + 1 / Decimal Odds (Outcome 2) + … + 1 / Decimal Odds (Outcome n) = Total

If the total is less than 1, an arbitrage opportunity exists. This means you can bet on both outcomes and still make a profit.

It's important to note that arbitrage opportunities are rare and often short-lived. Bookmakers are constantly adjusting their odds to ensure that they make a profit, so you need to act when you find an arbitrage opportunity.

In addition, you should be aware that bookmakers may limit your account or refuse to pay out if they suspect you are engaging in arbitrage betting. You may use multiple bookmakers to avoid this and spread your bets across different events.

In summary, identifying arbitrage opportunities requires careful analysis of the odds offered by different bookmakers. Using an odds comparison site and the formula outlined above, you can find discrepancies in the odds that allow you to place bets on both outcomes and still make a profit. However, arbitrage opportunities are rare and require quick action to take advantage of them.



Understanding Market and Odds

To calculate arbitrage betting, you must first understand the market and odds. A market is a collection of odds offered by bookmakers on a particular event, such as a soccer match or a horse race. The fair market is the theoretical odds offered if the bookmakers were not trying to make a profit. The market margin is the percentage of the total wagered that the bookmakers expect to keep as profit.

Odds represent the probability of an event happening. They are usually expressed as fractions, decimals, or American odds. In fractional odds, the first number represents the amount you could win, while the second represents the amount you would need to stake. For example, 3/1 odds mean that you could win $3 for every $1 bet. In decimal odds, the number represents the total amount you would receive, including your stake, if you won. For example, decimal odds 4.0 mean receiving $4 for every $1 staked. The odds are expressed as a positive or negative number in American odds. Positive odds indicate the amount you would win for a $100 stake, while negative odds indicate the amount you would need to stake to win $100.

The underdog is the team or player expected to lose, while the favorite is the team or player expected to win. Underdog odds are higher than favorite odds because the underdog is less likely to win. However, if the underdog does win, the payout will be higher. Favorite odds are lower than underdog odds because the favorite is more likely to win. However, if the choice does win, the payout will be lower.

Understanding the market and odds is crucial to calculating arbitrage betting opportunities. By identifying discrepancies in the odds offered by different bookmakers, you can place bets on all possible outcomes and guarantee a profit, regardless of the result.

Arbitrage Betting in Different Sports

Arbitrage betting can be applied to many sports, including football and tennis. This section will explore how arbitrage betting works in these two sports.

Football Arbitrage Betting

Football is one of the most popular sports for arbitrage betting. The many matches and the availability of odds from multiple bookmakers make it an ideal sport for arbitrage betting.

To find an arbitrage opportunity in football, you must compare the odds for the exact match from different bookmakers. For example, let's say Manchester United is playing Arsenal, and Bookmaker A offers odds of 2.0 for Manchester United to win, while Bookmaker B offers odds of 2.2 for Arsenal to win. By betting on both outcomes, you can guarantee a profit regardless of the result.

It's important to note that arbitrage opportunities in football are rare and often small. You must place large bets on multiple matches to profit significantly.

Tennis Arbitrage Betting

Tennis is another popular sport for arbitrage betting. The one-on-one nature of the sport and the availability of live betting markets make it an attractive option for arbitrage betting.

To find an arbitrage opportunity in tennis, you must compare the odds for the exact match from different bookmakers. For example, let's say Rafael Nadal is playing against Novak Djokovic, and Bookmaker A offers odds of 1.8 for Nadal to win, while Bookmaker B offers odds of 2.2 for Djokovic to win. By betting on both outcomes, you can guarantee a profit regardless of the result.

It's important to note that arbitrage opportunities in tennis are also rare and often small. You must place large bets on multiple matches to profit significantly.

In conclusion, arbitrage betting can be applied to many sports, including football and tennis. You can guarantee a profit regardless of the result by comparing the odds for the exact match from different bookmakers. However, it's important to note that arbitrage opportunities are rare and often small, so you need to place large bets on multiple matches to make a significant profit.

Risks and Limitations of Arbitrage Betting

Arbitrage betting is a popular strategy among sports bettors who want to minimize risk and guarantee a profit. However, like any other betting strategy, arbitrage betting comes with risks and limitations you should know before placing bets.

Risk of Arbitrage Betting

One of the most significant risks of arbitrage betting is that the odds may change before you can place your bets. This is especially true for popular events where many people are betting. If the odds change, you may not be able to place your bets in time to take advantage of the arbitrage opportunity. Additionally, bookmakers may limit the amount you can bet on specific events, reducing your potential profits.

Commission

Another limitation of arbitrage betting is the commission charged by betting exchanges. Betting exchanges charge a commission on winning bets, which can significantly reduce your profits. It's important to factor this commission into your calculations when determining whether an arbitrage opportunity is worth pursuing.

Lay Price

When placing lay bets, it's essential to consider the lay price. The lay price is when you can sell a bet on a betting exchange. If the lay price is too high, it may not be worth placing a lay bet, as the potential profit may not be worth the risk.

Lay Bet

Finally, when placing lay bets, it's essential to consider the market's liquidity. If more people are willing to take the other side of your bet, you can place a lay bet. This can be especially problematic for less popular events or bets with high odds.

In summary, while arbitrage betting can be profitable, knowing the risks and limitations is essential. By carefully considering these factors, you can decide whether an arbitrage opportunity is worth pursuing.